Set 15: Linear Inequalities (Intermediate)

Choice B is correct. Choice B is the correct answer. When the variable term is negative, we must eventually divide by a negative number. 1. Subtract 5: $5- 2 x - 5 \geq 1 - 5$, giving $-2 x \geq -4$ 2. Divide by -2: $\frac{-2 x}{-2} \leq \frac{-4}{-2}$ (reverse the sign!) 3. Simplify: $x \leq 2$ Strategic Tip: ALWAYS reverse the inequality when multiplying or dividing by negative numbers. This is one of the most tested concepts on the SAT. Choice A is incorrect because it fails to reverse the inequality sign when dividing by -2. Choice C is incorrect because it appears to use incorrect arithmetic, possibly dividing -6 by -2. Choice D is incorrect because while it correctly reverses the sign, it uses the wrong boundary value (3 instead of 2).